Question 1168684: Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning. After 5 hours of burning, a candle has a height of 24 centimeters. After 18 hours of burning, its height is 16.2 centimeters. what is the height of the candle after 12 hours?
Found 2 solutions by josgarithmetic, Boreal:
Answer by josgarithmetic(39617)   (Show Source):
You can put this solution on YOUR website! x, time
y, size
Two points (x,y) on line:
(5,24) and (18,16.2)
Starting from point-slope equation form,  , and you can do whatever algebra you want...
Answer by Boreal(15235)  (Show Source):
You can put this solution on YOUR website! (5, 24)
(18, 16.2)
slope is -7.8/13=-0.6
after 12 hours it is -0.6*7 shorter than at 5 hours or 4.2 cm shorter or 19.8 cm answer
the equation of the line is y-24=-0.6(x-5)
or y=-0.6x+27
the candle was 27 cm at 0 hours,
-0.6*5 or -3 (24 cm) at 5 hours
-0.6*18=-10.8 (16.2 cm) at 18 hours.'
the answer is 19.8 cm.
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